Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 22, 47, 80. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 16 m/s over 8 seconds. Work out the acceleration.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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